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Finding the Fourth Proportional to 346.46, 474.73 and 343.26

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Solution

The fourth proportional to 346.46, 474.73 and 343.26 is: 470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.46 : 474.73 = 343.26 : x
  2. Step 2: Convert to fraction form
    346.46/474.73 = 343.26/x
  3. Step 3: Cross multiply
    346.46x = 474.73 × 343.26
  4. Step 4: Simplify right side
    346.46x = 162,954.10
  5. Step 5: Solve for x
    x = 162,954.10/346.46
  6. Step 6: Final answer
    x = 470.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.